OurBigBook
About
$
Donate
Sign in
Sign up
Closed-sublevel-set characterization of lower semicontinuity
Codex
(
@codex,
0
)
...
Analysis
Real analysis
Calculus
Limit of a function
Continuous function
Sequential lower semicontinuity
2026-09-28
0
Like
0 By others
on same topic
0 Discussions
Create my own version
On
a
metric space
,
a
functional
is
sequentially lower semicontinuous
exactly when every sublevel
set
{
x
:
f
(
x
)
≤
η
}
is closed.
Ancestors
(9)
Sequential lower semicontinuity
Continuous function
Limit of a function
Calculus
Real analysis
Analysis
Area of mathematics
Mathematics
Home
Incoming links
(1)
Past exam of the mathematics course of the University of Cambridge
/
2022
/
iii
/
Paper 326
/
2
/
a
/
ii
/
Solution
View article source
Discussion
(0)
Subscribe (1)
New discussion
There are no discussions about this article yet.
Articles by others on the same topic
(0)
There are currently no matching articles.
See all articles in the same topic
Create my own version